LCM of 80 and 120 is 240. The LCM is the method to find the least common multiple between any two or more numbers. Prime Factorisation and Division Method for LCM and HCF is the best reference guide for students to obtain in-depth knowledge of finding the LCM and HCF of given numbers more effectively. Practising the problems with the help of this article improves analytical and logical thinking skills among students. Let us grasp the simple procedure of calculating the least common multiple of 80 and 120 accurately in this article.
What is LCM of 80 and 120?
The Least Common Multiple of 80 and 120 is 240.
How to Find LCM of 80 and 120?
The following methods are used to find the LCM of 80 and 120:
- Prime Factorisation
- Division method
- Listing the Multiples
LCM of 80 and 120 Using Prime Factorisation Method
In the prime factorisation method, LCM of 80 and 120 can be obtained by multiplying prime factors raised to their respective highest power.
80 = 2 × 2 × 2 × 2 × 5
120 = 2 × 2 × 2 × 3 × 5
LCM (80, 120) = 2 × 2 × 2 × 2 × 3 × 5 = 240
LCM of 80 and 120 Using Division Method
In the division method, to calculate the least common multiple of 80 and 120, we divide the numbers 80 and 120 by their prime factors until we get the result as one in the complete row. The product of these divisors represents the least common multiple of 80 and 120.
| 2 | 80 | 120 |
| 2 | 40 | 60 |
| 2 | 20 | 30 |
| 2 | 10 | 15 |
| 3 | 5 | 15 |
| 5 | 5 | 5 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (80, 120) = 2 × 2 × 2 × 2 × 3 × 5 = 240
LCM of 80 and 120 Using Listing the Multiples
In this method, we list down the multiples of 80 and 120 to calculate the least common multiple among them. The below table shows the multiples of 80 and 120.
| Multiples of 80 | Multiples of 120 |
| 80 | 120 |
| 160 | 240 |
| 240 | 360 |
| 320 | 480 |
| 400 | 600 |
LCM (80, 120) = 240
Related Articles
Video Lesson on Applications of LCM
Solved Examples
1. What is the smallest number that is divisible by both 80 and 120?
Solution: 240 is the smallest number that is divisible by both 80 and 120.
2. What is the lowest common factor of 80 and 120?
Solution: The lowest common factor of 80 and 120 is 240.
Frequently Asked Questions on LCM of 80 and 120
What is the LCM of 80 and 120?
Is the LCM of 80 and 120 the same as the HCF of 80 and 120?
Name the methods used to find the LCM of 80 and 120.
The methods used to find the LCM of 80 and 120 are as follows:
Prime Factorisation
Division method
Listing the Multiples
How to find the LCM of 80 and 120 using prime factorisation?
Here, we express the numbers as the product of prime factors
80 = 2 × 2 × 2 × 2 × 5
120 = 2 × 2 × 2 × 3 × 5
LCM (80, 120) = 2 × 2 × 2 × 2 × 3 × 5 = 240
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